3(1.9a-3.8)=13.3a-5.7

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Solution for 3(1.9a-3.8)=13.3a-5.7 equation: 


Simplifying
3(1.9a + -3.8) = 13.3a + -5.7

Reorder the terms:
3(-3.8 + 1.9a) = 13.3a + -5.7
(-3.8 * 3 + 1.9a * 3) = 13.3a + -5.7
(-11.4 + 5.7a) = 13.3a + -5.7

Reorder the terms:
-11.4 + 5.7a = -5.7 + 13.3a

Solving
-11.4 + 5.7a = -5.7 + 13.3a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-13.3a' to each side of the equation.
-11.4 + 5.7a + -13.3a = -5.7 + 13.3a + -13.3a

Combine like terms: 5.7a + -13.3a = -7.6a
-11.4 + -7.6a = -5.7 + 13.3a + -13.3a

Combine like terms: 13.3a + -13.3a = 0.0
-11.4 + -7.6a = -5.7 + 0.0
-11.4 + -7.6a = -5.7

Add '11.4' to each side of the equation.
-11.4 + 11.4 + -7.6a = -5.7 + 11.4

Combine like terms: -11.4 + 11.4 = 0.0
0.0 + -7.6a = -5.7 + 11.4
-7.6a = -5.7 + 11.4

Combine like terms: -5.7 + 11.4 = 5.7
-7.6a = 5.7

Divide each side by '-7.6'.
a = -0.75

Simplifying
a = -0.75

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